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Finding the Fourth Proportional to 3,402.21, 5,103.45 and 937.23

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Solution

The fourth proportional to 3,402.21, 5,103.45 and 937.23 is: 1,405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.21 : 5,103.45 = 937.23 : x
  2. Step 2: Convert to fraction form
    3,402.21/5,103.45 = 937.23/x
  3. Step 3: Cross multiply
    3,402.21x = 5,103.45 × 937.23
  4. Step 4: Simplify right side
    3,402.21x = 4,783,106.44
  5. Step 5: Solve for x
    x = 4,783,106.44/3,402.21
  6. Step 6: Final answer
    x = 1,405.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.